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Analysis of a Parametrically Driven Pendulum
Randy Kobes, Junxian Liu, Slaven Peles
We study in this paper the behavior of a periodically driven nonlinear mechanical system. Bifurcation diagrams are found which locate regions of quasiperiodic, periodic and chaotic…
nlin.CD2000
A Relationship Between Parametric Resonance and Chaos
R. Kobes, S. Peles
In this paper we study two types of exponential instability -- parametric resonance and chaos. We show that a given equation may produce chaos or parametric resonance, depending ho…